%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV040^5 : TPTP v9.2.1. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n001.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:21 AM UTC 2026 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV040^5 : TPTP v9.2.1. Released v4.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n001.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 18:10:50 EDT 2026 % 0.17/0.34 % CPUTime : % 0.30/0.50 %----Proving TH0 % 0.39/0.60 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.39/0.60 % SZS status Theorem % 0.39/0.60 % SZS output start Proof % 0.39/0.60 ( % 0.39/0.60 (declare-sort tptp.a 0) % 0.39/0.60 (define @t1 () (@var "Xq" (-> tptp.a tptp.a Bool))) % 0.39/0.60 (define @t2 () (@var "Xp" (-> tptp.a tptp.a Bool))) % 0.39/0.60 (define @t3 () (@var "Xz" tptp.a)) % 0.39/0.60 (define @t4 () (@var "Xx" tptp.a)) % 0.39/0.60 (define @t5 () (_ @t2 @t4)) % 0.39/0.60 (define @t6 () (@var "Xy" tptp.a)) % 0.39/0.60 (define @t7 () (_ @t2 @t6)) % 0.39/0.60 (define @t8 () (_ @t5 @t6)) % 0.39/0.60 (define @t9 () (lambda (@list @t2 @t1) (and (forall (@list @t4 @t6) (=> @t8 (_ @t7 @t4))) (forall (@list @t4 @t6 @t3) (=> (and @t8 (_ @t7 @t3)) (_ @t5 @t3))) (= @t2 @t1)))) % 0.39/0.60 (define @t10 () (@var "Xz" (-> tptp.a tptp.a Bool))) % 0.39/0.60 (define @t11 () (@var "Xx" (-> tptp.a tptp.a Bool))) % 0.39/0.60 (define @t12 () (= @t11 @t10)) % 0.39/0.60 (define @t13 () (@var "Xz0" tptp.a)) % 0.39/0.60 (define @t14 () (@var "Xx0" tptp.a)) % 0.39/0.60 (define @t15 () (_ @t11 @t14)) % 0.39/0.60 (define @t16 () (_ @t15 @t13)) % 0.39/0.60 (define @t17 () (@var "Xy0" tptp.a)) % 0.39/0.60 (define @t18 () (_ @t11 @t17)) % 0.39/0.60 (define @t19 () (_ @t18 @t13)) % 0.39/0.60 (define @t20 () (_ @t15 @t17)) % 0.39/0.60 (define @t21 () (and @t20 @t19)) % 0.39/0.60 (define @t22 () (@list @t14 @t17 @t13)) % 0.39/0.60 (define @t23 () (forall @t22 (=> @t21 @t16))) % 0.39/0.60 (define @t24 () (_ @t18 @t14)) % 0.39/0.60 (define @t25 () (@list @t14 @t17)) % 0.39/0.60 (define @t26 () (forall @t25 (=> @t20 @t24))) % 0.39/0.60 (define @t27 () (and @t26 @t23 @t12)) % 0.39/0.60 (define @t28 () (@var "Xy" (-> tptp.a tptp.a Bool))) % 0.39/0.60 (define @t29 () (= @t28 @t10)) % 0.39/0.60 (define @t30 () (_ @t28 @t14)) % 0.39/0.60 (define @t31 () (_ @t30 @t13)) % 0.39/0.60 (define @t32 () (_ @t28 @t17)) % 0.39/0.60 (define @t33 () (_ @t32 @t13)) % 0.39/0.60 (define @t34 () (_ @t30 @t17)) % 0.39/0.60 (define @t35 () (and @t34 @t33)) % 0.39/0.60 (define @t36 () (forall @t22 (=> @t35 @t31))) % 0.39/0.60 (define @t37 () (_ @t32 @t14)) % 0.39/0.60 (define @t38 () (forall @t25 (=> @t34 @t37))) % 0.39/0.60 (define @t39 () (= @t11 @t28)) % 0.39/0.60 (define @t40 () (and @t26 @t23 @t39 @t38 @t36 @t29)) % 0.39/0.60 (define @t41 () (=> @t40 @t27)) % 0.39/0.60 (define @t42 () (@list @t11 @t28 @t10)) % 0.39/0.60 (define @t43 () (forall @t42 @t41)) % 0.39/0.60 (define @t44 () (_ @t30 @t3)) % 0.39/0.60 (define @t45 () (_ @t32 @t3)) % 0.39/0.60 (define @t46 () (and @t34 @t45)) % 0.39/0.60 (define @t47 () (@list @t14 @t17 @t3)) % 0.39/0.60 (define @t48 () (forall @t47 (=> @t46 @t44))) % 0.39/0.60 (define @t49 () (and @t38 @t48 (= @t28 @t11))) % 0.39/0.60 (define @t50 () (_ @t15 @t3)) % 0.39/0.60 (define @t51 () (_ @t18 @t3)) % 0.39/0.60 (define @t52 () (and @t20 @t51)) % 0.39/0.60 (define @t53 () (forall @t47 (=> @t52 @t50))) % 0.39/0.60 (define @t54 () (and @t26 @t53 @t39)) % 0.39/0.60 (define @t55 () (=> @t54 @t49)) % 0.39/0.60 (define @t56 () (@list @t11 @t28)) % 0.39/0.60 (define @t57 () (forall @t56 @t55)) % 0.39/0.60 (define @t58 () (and @t57 @t43 (= @t9 @t9))) % 0.39/0.60 (define @t59 () (not @t58)) % 0.39/0.60 (define @t60 () (@var "BOUND_VARIABLE_7549" tptp.a)) % 0.39/0.60 (define @t61 () (@var "BOUND_VARIABLE_7545" tptp.a)) % 0.39/0.60 (define @t62 () (@var "BOUND_VARIABLE_7547" tptp.a)) % 0.39/0.60 (define @t63 () (or (not (_ @t28 @t61 @t62)) (not (_ @t28 @t62 @t60)) (_ @t28 @t61 @t60))) % 0.39/0.60 (define @t64 () (@var "BOUND_VARIABLE_7537" tptp.a)) % 0.39/0.60 (define @t65 () (@var "BOUND_VARIABLE_7539" tptp.a)) % 0.39/0.60 (define @t66 () (or (not (_ @t28 @t64 @t65)) (_ @t28 @t65 @t64))) % 0.39/0.60 (define @t67 () (and @t66 @t63)) % 0.39/0.60 (define @t68 () (_ @t28 @t14 @t3)) % 0.39/0.60 (define @t69 () (_ @t28 @t17 @t3)) % 0.39/0.60 (define @t70 () (_ @t28 @t14 @t17)) % 0.39/0.60 (define @t71 () (not @t70)) % 0.39/0.60 (define @t72 () (forall @t47 (or @t71 (not @t69) @t68))) % 0.39/0.60 (define @t73 () (not @t72)) % 0.39/0.60 (define @t74 () (_ @t28 @t17 @t14)) % 0.39/0.60 (define @t75 () (forall @t25 (or @t71 @t74))) % 0.39/0.60 (define @t76 () (not @t75)) % 0.39/0.60 (define @t77 () (or @t76 @t73 @t67)) % 0.39/0.60 (define @t78 () (@list @t28 @t64 @t65 @t61 @t62 @t60)) % 0.39/0.60 (define @t79 () (forall @t78 @t77)) % 0.39/0.60 (define @t80 () (@quantifiers_skolemize @t79 0)) % 0.39/0.60 (define @t81 () (not (_ @t80 @t14 @t17))) % 0.39/0.60 (define @t82 () (forall @t25 (or @t81 (_ @t80 @t17 @t14)))) % 0.39/0.60 (define @t83 () (@quantifiers_skolemize @t79 5)) % 0.39/0.60 (define @t84 () (@quantifiers_skolemize @t79 3)) % 0.39/0.60 (define @t85 () (@quantifiers_skolemize @t79 4)) % 0.39/0.60 (define @t86 () (or (not (_ @t80 @t84 @t85)) (not (_ @t80 @t85 @t83)) (_ @t80 @t84 @t83))) % 0.39/0.60 (define @t87 () (@quantifiers_skolemize @t79 1)) % 0.39/0.60 (define @t88 () (@quantifiers_skolemize @t79 2)) % 0.39/0.60 (define @t89 () (or (not (_ @t80 @t87 @t88)) (_ @t80 @t88 @t87))) % 0.39/0.60 (define @t90 () (and @t89 @t86)) % 0.39/0.60 (define @t91 () (forall @t47 (or @t81 (not (_ @t80 @t17 @t3)) (_ @t80 @t14 @t3)))) % 0.39/0.60 (define @t92 () (not @t91)) % 0.39/0.60 (define @t93 () (not @t82)) % 0.39/0.60 (define @t94 () (or @t93 @t92 @t90)) % 0.39/0.60 (define @t95 () (not @t94)) % 0.39/0.60 (define @t96 () (not @t79)) % 0.39/0.60 (define @t97 () (@list false)) % 0.39/0.60 (define @t98 () (@var "BOUND_VARIABLE_7760" tptp.a)) % 0.39/0.60 (define @t99 () (@var "BOUND_VARIABLE_7758" tptp.a)) % 0.39/0.60 (define @t100 () (@var "BOUND_VARIABLE_7757" (-> tptp.a tptp.a Bool))) % 0.39/0.60 (define @t101 () (@var "BOUND_VARIABLE_7759" tptp.a)) % 0.39/0.60 (define @t102 () (@var "BOUND_VARIABLE_7755" tptp.a)) % 0.39/0.60 (define @t103 () (@var "BOUND_VARIABLE_7756" tptp.a)) % 0.39/0.60 (define @t104 () (@var "BOUND_VARIABLE_7763" tptp.a)) % 0.39/0.60 (define @t105 () (@var "BOUND_VARIABLE_7761" tptp.a)) % 0.39/0.60 (define @t106 () (@var "BOUND_VARIABLE_7762" tptp.a)) % 0.39/0.60 (define @t107 () (not (_ @t100 @t105 @t106))) % 0.39/0.60 (define @t108 () (@list @t102 @t103 @t100 @t99 @t101 @t98 @t105 @t106 @t104)) % 0.39/0.60 (define @t109 () (@var "BOUND_VARIABLE_7617" tptp.a)) % 0.39/0.60 (define @t110 () (@var "BOUND_VARIABLE_7615" tptp.a)) % 0.39/0.60 (define @t111 () (@var "BOUND_VARIABLE_7613" tptp.a)) % 0.39/0.60 (define @t112 () (@var "BOUND_VARIABLE_7607" tptp.a)) % 0.39/0.60 (define @t113 () (@var "BOUND_VARIABLE_7605" tptp.a)) % 0.39/0.60 (define @t114 () (or (not (_ @t10 @t111 @t110)) (not (_ @t10 @t110 @t109)) (_ @t10 @t111 @t109))) % 0.39/0.60 (define @t115 () (or (not (_ @t10 @t113 @t112)) (_ @t10 @t112 @t113))) % 0.39/0.60 (define @t116 () (and @t115 @t114)) % 0.39/0.60 (define @t117 () (not (_ @t10 @t14 @t17))) % 0.39/0.60 (define @t118 () (not (forall @t22 (or @t117 (not (_ @t10 @t17 @t13)) (_ @t10 @t14 @t13))))) % 0.39/0.60 (define @t119 () (not (forall @t25 (or @t117 (_ @t10 @t17 @t14))))) % 0.39/0.60 (define @t120 () (or @t119 @t118 @t116)) % 0.39/0.60 (define @t121 () (@list @t10 @t113 @t112 @t111 @t110 @t109)) % 0.39/0.60 (define @t122 () (forall @t121 @t120)) % 0.39/0.60 (define @t123 () (= @t10 @t10)) % 0.39/0.60 (define @t124 () (and @t115 @t114 @t123)) % 0.39/0.60 (define @t125 () (not @t123)) % 0.39/0.60 (define @t126 () (or @t119 @t118 @t125 @t124)) % 0.39/0.60 (define @t127 () (and (or (not (_ @t28 @t113 @t112)) (_ @t28 @t112 @t113)) (or (not (_ @t28 @t111 @t110)) (not (_ @t28 @t110 @t109)) (_ @t28 @t111 @t109)) @t29)) % 0.39/0.60 (define @t128 () (not @t29)) % 0.39/0.60 (define @t129 () (_ @t28 @t14 @t13)) % 0.39/0.60 (define @t130 () (_ @t28 @t17 @t13)) % 0.39/0.60 (define @t131 () (forall @t22 (or @t71 (not @t130) @t129))) % 0.39/0.60 (define @t132 () (not @t131)) % 0.39/0.60 (define @t133 () (or @t128 @t76 @t132 @t128 @t127)) % 0.39/0.60 (define @t134 () (@list @t28)) % 0.39/0.60 (define @t135 () (or @t76 @t132 @t128 @t127)) % 0.39/0.60 (define @t136 () (forall @t134 @t135)) % 0.39/0.60 (define @t137 () (forall @t121 @t136)) % 0.39/0.60 (define @t138 () (forall (@list @t10 @t113 @t112 @t111 @t110 @t109 @t28) @t135)) % 0.39/0.60 (define @t139 () (@list @t28 @t10 @t113 @t112 @t111 @t110 @t109)) % 0.39/0.60 (define @t140 () (= @t28 @t28)) % 0.39/0.60 (define @t141 () (not @t140)) % 0.39/0.60 (define @t142 () (or @t76 @t132 @t141 @t76 @t132 @t128 @t127)) % 0.39/0.60 (define @t143 () (or (not (_ @t11 @t111 @t110)) (not (_ @t11 @t110 @t109)) (_ @t11 @t111 @t109))) % 0.39/0.60 (define @t144 () (or (not (_ @t11 @t113 @t112)) (_ @t11 @t112 @t113))) % 0.39/0.60 (define @t145 () (and @t144 @t143 @t12)) % 0.39/0.60 (define @t146 () (not @t39)) % 0.39/0.60 (define @t147 () (_ @t11 @t14 @t13)) % 0.39/0.60 (define @t148 () (_ @t11 @t17 @t13)) % 0.39/0.60 (define @t149 () (_ @t11 @t14 @t17)) % 0.39/0.60 (define @t150 () (not @t149)) % 0.39/0.60 (define @t151 () (forall @t22 (or @t150 (not @t148) @t147))) % 0.39/0.60 (define @t152 () (not @t151)) % 0.39/0.60 (define @t153 () (_ @t11 @t17 @t14)) % 0.39/0.60 (define @t154 () (forall @t25 (or @t150 @t153))) % 0.39/0.60 (define @t155 () (not @t154)) % 0.39/0.60 (define @t156 () (or @t146 @t155 @t152 @t146 @t76 @t132 @t128 @t145)) % 0.39/0.60 (define @t157 () (@list @t11)) % 0.39/0.60 (define @t158 () (or @t155 @t152 @t146 @t76 @t132 @t128 @t145)) % 0.39/0.60 (define @t159 () (forall @t157 @t158)) % 0.39/0.60 (define @t160 () (forall @t139 @t159)) % 0.39/0.60 (define @t161 () (forall (@list @t28 @t10 @t113 @t112 @t111 @t110 @t109 @t11) @t158)) % 0.39/0.60 (define @t162 () (forall (@list @t11 @t28 @t10 @t113 @t112 @t111 @t110 @t109) @t158)) % 0.39/0.60 (define @t163 () (@list @t113 @t112 @t111 @t110 @t109)) % 0.39/0.60 (define @t164 () (forall @t163 @t158)) % 0.39/0.60 (define @t165 () (forall @t163 @t12)) % 0.39/0.60 (define @t166 () (forall (@list @t111 @t110 @t109) @t143)) % 0.39/0.60 (define @t167 () (forall @t163 @t143)) % 0.39/0.60 (define @t168 () (forall (@list @t113 @t112) @t144)) % 0.39/0.60 (define @t169 () (@list @t14 @t17)) % 0.39/0.60 (define @t170 () (forall @t163 @t144)) % 0.39/0.60 (define @t171 () (and @t170 @t167 @t165)) % 0.39/0.60 (define @t172 () (forall @t163 @t145)) % 0.39/0.60 (define @t173 () (or @t155 @t152 @t146 @t76 @t132 @t128 @t172)) % 0.39/0.60 (define @t174 () (and @t154 @t151 @t12)) % 0.39/0.60 (define @t175 () (or @t155 @t152 @t146 @t76 @t132 @t128 @t174)) % 0.39/0.60 (define @t176 () (or @t155 @t152 @t146 @t76 @t132 @t128)) % 0.39/0.60 (define @t177 () (and @t154 @t151 @t39 @t75 @t131 @t29)) % 0.39/0.60 (define @t178 () (not @t19)) % 0.39/0.60 (define @t179 () (not @t20)) % 0.39/0.60 (define @t180 () (or @t179 @t178 @t16)) % 0.39/0.60 (define @t181 () (or @t179 @t24)) % 0.39/0.60 (define @t182 () (not @t33)) % 0.39/0.60 (define @t183 () (not @t34)) % 0.39/0.60 (define @t184 () (or @t183 @t182 @t31)) % 0.39/0.60 (define @t185 () (or @t183 @t37)) % 0.39/0.60 (define @t186 () (and @t66 @t63 @t140)) % 0.39/0.60 (define @t187 () (or @t76 @t73 @t141 @t186)) % 0.39/0.60 (define @t188 () (and @t66 @t63 @t39)) % 0.39/0.60 (define @t189 () (_ @t11 @t14 @t3)) % 0.39/0.60 (define @t190 () (_ @t11 @t17 @t3)) % 0.39/0.60 (define @t191 () (forall @t47 (or @t150 (not @t190) @t189))) % 0.39/0.60 (define @t192 () (not @t191)) % 0.39/0.60 (define @t193 () (or @t146 @t155 @t192 @t146 @t188)) % 0.39/0.60 (define @t194 () (or @t155 @t192 @t146 @t188)) % 0.39/0.60 (define @t195 () (forall @t157 @t194)) % 0.39/0.60 (define @t196 () (forall @t78 @t195)) % 0.39/0.60 (define @t197 () (forall (@list @t28 @t64 @t65 @t61 @t62 @t60 @t11) @t194)) % 0.39/0.60 (define @t198 () (forall (@list @t11 @t28 @t64 @t65 @t61 @t62 @t60) @t194)) % 0.39/0.60 (define @t199 () (@list @t64 @t65 @t61 @t62 @t60)) % 0.39/0.60 (define @t200 () (forall @t199 @t194)) % 0.39/0.60 (define @t201 () (forall @t199 @t39)) % 0.39/0.60 (define @t202 () (forall (@list @t61 @t62 @t60) @t63)) % 0.39/0.60 (define @t203 () (forall @t199 @t63)) % 0.39/0.60 (define @t204 () (forall (@list @t64 @t65) @t66)) % 0.39/0.60 (define @t205 () (forall @t199 @t66)) % 0.39/0.60 (define @t206 () (and @t205 @t203 @t201)) % 0.39/0.60 (define @t207 () (forall @t199 @t188)) % 0.39/0.60 (define @t208 () (or @t155 @t192 @t146 @t207)) % 0.39/0.60 (define @t209 () (and @t75 @t72 @t39)) % 0.39/0.60 (define @t210 () (or @t155 @t192 @t146 @t209)) % 0.39/0.60 (define @t211 () (or @t155 @t192 @t146)) % 0.39/0.60 (define @t212 () (and @t154 @t191 @t39)) % 0.39/0.60 (define @t213 () (not @t45)) % 0.39/0.60 (define @t214 () (or @t183 @t213 @t44)) % 0.39/0.60 (define @t215 () (not @t51)) % 0.39/0.60 (define @t216 () (or @t179 @t215 @t50)) % 0.39/0.60 (assume @p1 @t59) % 0.39/0.60 (assume @p2 true) % 0.39/0.60 (step @p3 :rule bool-double-not-elim :args (@t82)) % 0.39/0.60 (step @p4 :rule refl :args (@t94)) % 0.39/0.60 (step @p5 :rule nary_cong :premises (@p4 @p3) :args ((or @t94 (not @t93)))) % 0.39/0.61 (step @p6 :rule cnf_or_neg :args (@t94 0)) % 0.39/0.61 (step @p7 :rule eq_resolve :premises (@p6 @p5)) % 0.39/0.61 (step @p8 :rule reordering :premises (@p7) :args ((or @t82 @t94))) % 0.39/0.61 (step @p9 :rule bool-double-not-elim :args (@t91)) % 0.39/0.61 (step @p10 :rule nary_cong :premises (@p4 @p9) :args ((or @t94 (not @t92)))) % 0.39/0.61 (step @p11 :rule cnf_or_neg :args (@t94 1)) % 0.39/0.61 (step @p12 :rule eq_resolve :premises (@p11 @p10)) % 0.39/0.61 (step @p13 :rule reordering :premises (@p12) :args ((or @t91 @t94))) % 0.39/0.61 (step @p14 :rule cnf_or_neg :args (@t94 2)) % 0.39/0.61 (assume-push @p328 @t82) % 0.39/0.61 (step @p16 :rule instantiate :premises (@p328) :args ((@list @t87 @t88))) % 0.39/0.61 (step-pop @p329 :rule scope :premises (@p16)) % 0.39/0.61 (step @p17 :rule process_scope :premises (@p329) :args (@t89)) % 0.39/0.61 (step @p19 :rule implies_elim :premises (@p17)) % 0.39/0.61 (step @p20 :rule cnf_and_neg :args (@t90)) % 0.39/0.61 (assume-push @p330 @t91) % 0.39/0.61 (step @p22 :rule instantiate :premises (@p330) :args ((@list @t84 @t85 @t83))) % 0.39/0.61 (step-pop @p331 :rule scope :premises (@p22)) % 0.39/0.61 (step @p23 :rule process_scope :premises (@p331) :args (@t86)) % 0.39/0.61 (step @p25 :rule implies_elim :premises (@p23)) % 0.39/0.61 (step @p26 :rule chain_m_resolution :premises (@p25 @p20 @p19 @p14 @p13 @p8) :args (@t94 (@list true false true false false) (@list @t86 @t89 @t90 @t91 @t82))) % 0.39/0.61 (step @p27 :rule refl :args (@t95)) % 0.39/0.61 (step @p28 :rule bool-double-not-elim :args (@t79)) % 0.39/0.61 (step @p29 :rule nary_cong :premises (@p28 @p27) :args ((or (not @t96) @t95))) % 0.39/0.61 (assume-push @p332 @t96) % 0.39/0.61 (step @p31 :rule skolemize :premises (@p332)) % 0.39/0.61 (step-pop @p333 :rule scope :premises (@p31)) % 0.39/0.61 (step @p32 :rule process_scope :premises (@p333) :args (@t95)) % 0.39/0.61 (step @p34 :rule implies_elim :premises (@p32)) % 0.39/0.61 (step @p35 :rule eq_resolve :premises (@p34 @p29)) % 0.39/0.61 (step @p36 :rule chain_m_resolution :premises (@p35 @p26) :args (@t79 @t97 (@list @t94))) % 0.39/0.61 (step @p37 :rule alpha_equiv :args ((forall (@list @t100 @t102 @t103 @t99 @t101 @t98) (or (not (forall (@list @t105 @t106) (or @t107 (_ @t100 @t106 @t105)))) (not (forall (@list @t105 @t106 @t104) (or @t107 (not (_ @t100 @t106 @t104)) (_ @t100 @t105 @t104)))) (and (or (not (_ @t100 @t102 @t103)) (_ @t100 @t103 @t102)) (or (not (_ @t100 @t99 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(step @p268 :rule nary_cong :premises (@p267 @p261) :args ((or (not @t212) @t209))) % 0.39/0.61 (step @p269 :rule trans :premises (@p268 @p260)) % 0.39/0.61 (step @p270 :rule bool-impl-elim :args (@t212 @t209)) % 0.39/0.61 (step @p271 :rule trans :premises (@p270 @p269)) % 0.39/0.61 (step @p272 :rule cong :premises (@p271) :args ((forall @t56 (=> @t212 @t209)))) % 0.39/0.61 (step @p273 :rule trans :premises (@p272 @p259)) % 0.39/0.61 (step @p274 :rule eq-symm :args (@t28 @t11)) % 0.39/0.61 (step @p275 :rule refl :args (@t68)) % 0.39/0.61 (step @p276 :rule refl :args (@t44)) % 0.39/0.61 (step @p277 :rule cong :premises (@p276 @p275) :args ((= @t44 @t68))) % 0.39/0.61 (step @p278 :rule symm :premises (@p277)) % 0.39/0.61 (step @p279 :rule eq_resolve :premises (@p276 @p278)) % 0.39/0.61 (step @p280 :rule refl :args (@t69)) % 0.39/0.61 (step @p281 :rule refl :args (@t45)) % 0.39/0.61 (step @p282 :rule cong :premises (@p281 @p280) :args ((= @t45 @t69))) % 0.39/0.61 (step @p283 :rule symm :premises (@p282)) % 0.39/0.61 (step @p284 :rule eq_resolve :premises (@p281 @p283)) % 0.39/0.61 (step @p285 :rule cong :premises (@p284) :args (@t213)) % 0.39/0.61 (step @p286 :rule nary_cong :premises (@p195 @p285 @p279) :args (@t214)) % 0.39/0.61 (step @p287 :rule cong :premises (@p286) :args ((forall @t47 @t214))) % 0.39/0.61 (step @p288 :rule aci_norm :args ((= (or (or @t183 @t213) @t44) @t214))) % 0.39/0.61 (step @p289 :rule bool-and-de-morgan :args (@t34 @t45 true)) % 0.39/0.61 (step @p290 :rule nary_cong :premises (@p289 @p276) :args ((or (not @t46) @t44))) % 0.39/0.61 (step @p291 :rule trans :premises (@p290 @p288)) % 0.39/0.61 (step @p292 :rule bool-impl-elim :args (@t46 @t44)) % 0.39/0.61 (step @p293 :rule trans :premises (@p292 @p291)) % 0.39/0.61 (step @p294 :rule cong :premises (@p293) :args (@t48)) % 0.39/0.61 (step @p295 :rule trans :premises (@p294 @p287)) % 0.39/0.61 (step @p296 :rule nary_cong :premises (@p215 @p295 @p274) :args (@t49)) % 0.39/0.61 (step @p297 :rule refl :args (@t189)) % 0.39/0.61 (step @p298 :rule refl :args (@t50)) % 0.39/0.61 (step @p299 :rule cong :premises (@p298 @p297) :args ((= @t50 @t189))) % 0.39/0.61 (step @p300 :rule symm :premises (@p299)) % 0.39/0.61 (step @p301 :rule eq_resolve :premises (@p298 @p300)) % 0.39/0.61 (step @p302 :rule refl :args (@t190)) % 0.39/0.61 (step @p303 :rule refl :args (@t51)) % 0.39/0.61 (step @p304 :rule cong :premises (@p303 @p302) :args ((= @t51 @t190))) % 0.39/0.61 (step @p305 :rule symm :premises (@p304)) % 0.39/0.61 (step @p306 :rule eq_resolve :premises (@p303 @p305)) % 0.39/0.61 (step @p307 :rule cong :premises (@p306) :args (@t215)) % 0.39/0.61 (step @p308 :rule nary_cong :premises (@p156 @p307 @p301) :args (@t216)) % 0.39/0.61 (step @p309 :rule cong :premises (@p308) :args ((forall @t47 @t216))) % 0.39/0.61 (step @p310 :rule aci_norm :args ((= (or (or @t179 @t215) @t50) @t216))) % 0.39/0.61 (step @p311 :rule bool-and-de-morgan :args (@t20 @t51 true)) % 0.39/0.61 (step @p312 :rule nary_cong :premises (@p311 @p298) :args ((or (not @t52) @t50))) % 0.39/0.61 (step @p313 :rule trans :premises (@p312 @p310)) % 0.39/0.61 (step @p314 :rule bool-impl-elim :args (@t52 @t50)) % 0.39/0.61 (step @p315 :rule trans :premises (@p314 @p313)) % 0.39/0.61 (step @p316 :rule cong :premises (@p315) :args (@t53)) % 0.39/0.61 (step @p317 :rule trans :premises (@p316 @p309)) % 0.39/0.61 (step @p318 :rule nary_cong :premises (@p176 @p317 @p216) :args (@t54)) % 0.39/0.61 (step @p319 :rule cong :premises (@p318 @p296) :args (@t55)) % 0.39/0.61 (step @p320 :rule cong :premises (@p319) :args (@t57)) % 0.39/0.61 (step @p321 :rule trans :premises (@p320 @p273)) % 0.39/0.61 (step @p322 :rule nary_cong :premises (@p321 @p220 @p44) :args (@t58)) % 0.39/0.61 (step @p323 :rule trans :premises (@p322 @p43)) % 0.39/0.61 (step @p324 :rule cong :premises (@p323) :args (@t59)) % 0.39/0.61 (step @p325 :rule eq_resolve :premises (@p1 @p324)) % 0.39/0.61 (step @p326 :rule not_and :premises (@p325)) % 0.39/0.61 (step @p327 false :rule chain_m_resolution :premises (@p326 @p42 @p36) :args (false (@list false false) (@list @t122 @t79))) % 0.39/0.61 ) % 0.39/0.61 % SZS output end Proof % 0.39/0.61 % cvc5 exiting %------------------------------------------------------------------------------